I don't think this is going to be the case. This seems like an extreme conclusion with virtually no precedent.
Since an ad browser is such an important piece of software, I imagine it will receive many donations. The reason Chrome doesn't is because it doesn't need them. I think that will change.
Also, I think it's possible you will pay for a browser at some point. Ultimately software costs money to make and we've become desensitized to that because we've exchanged that cost for advertising. But advertising sucks. For example, I pay double for HBO Max just so I don't see ads, and I'm not alone in that.